Question

A number is 3 less than another number. By adding 17 to twice the larger number becomes thrice the smaller number. Find these numbers

Answer 1

GIVEN:

• A number is 3 less than another number.
• By adding 17 to twice the larger number becomes thrice the smaller number.

TO FIND:

• What are the numbers ?

SOLUTION:

Let the larger number be 'x'

and,

Smaller Number be '(x – 3)'

We have given that, A number is 3 less than another number. By adding 17 to twice the larger number becomes thrice the smaller number.

According to question:-

On putting the given values in the formula, we get

$\sf{\rightarrow 2x + 17 = 3(x - 3)}$

$\sf{\rightarrow 2x + 17 = 3x - 9}$

$\sf{\rightarrow 2x - 3x = -9 - 17}$

$\sf{\rightarrow -x = -26}$

$\bf{\rightarrow x = 26}$

• Bigger number = x = 26
• Smaller number = x – 3 = 26 – 3 = 23

❝ Hence, the two numbers are 26 and 23 respectively. ❞

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